Theorems · Theorem · order theory
Set.eval_image_univ_pi_subset
∀ {ι : Type u_1} {α : ι → Type u_2} {t : (i : ι) → Set (α i)} {i : ι}, Function.eval i '' Set.univ.pi t ⊆ t i- Defined in
- Mathlib.Data.Set.Prod
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Set.imagestatement · cited by 5,609
- Set.univstatement · cited by 3,945
- Set.mem_univproof · cited by 416
- Set.pistatement · cited by 405
- Function.evalstatement · cited by 140
- Set.eval_image_pi_subsetproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- Bornology.IsBounded.piproof · cited by 1